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Question Number 39395 by Rio Mike last updated on 06/Jul/18

Given that θ is an obtuse   angle find tan θ if  cos θ =(3/5)

$${Given}\:{that}\:\theta\:{is}\:{an}\:{obtuse}\: \\ $$$${angle}\:{find}\:{tan}\:\theta\:{if} \\ $$$${cos}\:\theta\:=\frac{\mathrm{3}}{\mathrm{5}} \\ $$$$ \\ $$

Commented by MrW3 last updated on 06/Jul/18

the question is not ok sir.  if θ is an obtuse angle then cos θ<0.    let′s assume cos θ=−(3/5)  ⇒sin θ=(4/5)  ⇒tan θ=−(4/3)

$${the}\:{question}\:{is}\:{not}\:{ok}\:{sir}. \\ $$$${if}\:\theta\:{is}\:{an}\:{obtuse}\:{angle}\:{then}\:\mathrm{cos}\:\theta<\mathrm{0}. \\ $$$$ \\ $$$${let}'{s}\:{assume}\:\mathrm{cos}\:\theta=−\frac{\mathrm{3}}{\mathrm{5}} \\ $$$$\Rightarrow\mathrm{sin}\:\theta=\frac{\mathrm{4}}{\mathrm{5}} \\ $$$$\Rightarrow\mathrm{tan}\:\theta=−\frac{\mathrm{4}}{\mathrm{3}} \\ $$

Commented by Rio Mike last updated on 06/Jul/18

i think your right ..thanks

$${i}\:{think}\:{your}\:{right}\:..{thanks} \\ $$

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